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Finding the Fourth Proportional to 2,723.40, 4,085.81 and 775.76

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Solution

The fourth proportional to 2,723.40, 4,085.81 and 775.76 is: 1,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.40 : 4,085.81 = 775.76 : x
  2. Step 2: Convert to fraction form
    2,723.40/4,085.81 = 775.76/x
  3. Step 3: Cross multiply
    2,723.40x = 4,085.81 × 775.76
  4. Step 4: Simplify right side
    2,723.40x = 3,169,599.69
  5. Step 5: Solve for x
    x = 3,169,599.69/2,723.40
  6. Step 6: Final answer
    x = 1,163.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.